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22034132064 = 2532710929629
BaseRepresentation
bin10100100001010101…
…100010110001100000
32002212121002212212100
4110201111202301200
5330111214211224
614042231530400
71410012014040
oct244125426140
962777085770
1022034132064
1193877695aa
12432b229a00
132101c42989
1410d0507720
1588e621ac9
hex521562c60

22034132064 has 72 divisors (see below), whose sum is σ = 71610935760. Its totient is φ = 6295465728.

The previous prime is 22034132033. The next prime is 22034132077. The reversal of 22034132064 is 46023143022.

22034132064 is a `hidden beast` number, since 220 + 3 + 413 + 20 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5462799 + ... + 5466830.

It is an arithmetic number, because the mean of its divisors is an integer number (994596330).

Almost surely, 222034132064 is an apocalyptic number.

22034132064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22034132064 is an abundant number, since it is smaller than the sum of its proper divisors (49576803696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22034132064 is a wasteful number, since it uses less digits than its factorization.

22034132064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929652 (or 10929641 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22034132064 its reverse (46023143022), we get a palindrome (68057275086).

It can be divided in two parts, 220341 and 32064, that added together give a triangular number (252405 = T710).

The spelling of 22034132064 in words is "twenty-two billion, thirty-four million, one hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10929629 21859258 32788887 43718516 65577774 76507403 87437032 98366661 131155548 153014806 174874064 196733322 229522209 262311096 306029612 349748128 393466644 459044418 524622192 612059224 688566627 786933288 918088836 1049244384 1224118448 1377133254 1573866576 1836177672 2448236896 2754266508 3147733152 3672355344 5508533016 7344710688 11017066032 22034132064